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arXiv 1405.7702gr-qcastro-ph.HEhep-th
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流体动力学涡旋模式中超辐射不稳定性的起始

Onset of superradiant instabilities in the hydrodynamic vortex model

Shahar Hod

摘要:

本文对传播声波的一种有效的时空几何--流体动力学涡旋进行了解析研究。与我们熟悉的克尔黑洞时空相比,流体动力学涡旋模型是由一个没有视界的有效声学几何来描述的。然而,这个声学时空拥有一个遍历区域,这是它与旋转克尔时空共享的一个属性。最近的数值计算表明,由于有效时空的能区中声波的超辐射散射,这个物理系统是线性不稳定的。在本研究中,我们使用分析工具,以探讨这些superradiant不稳定性的特征有效时空几何的发病。特别是,我们推导出一个简单的分析公式,它描述了流体动力学涡旋系统在其临界状态(边缘稳定)的物理特性,该状态标志着稳定和不稳定的流体配置之间的边界。分析推导的公式与最近发表的流体动力学涡系的数值数据一致。

英文摘要:

The hydrodynamic vortex, an effective spacetime geometry for propagating sound waves, is studied analytically. In contrast with the familiar Kerr black-hole spacetime, the hydrodynamic vortex model is described by an effective acoustic geometry which has no horizons. However, this acoustic spacetime possesses an ergoregion, a property which it shares with the rotating Kerr spacetime. It has recently been shown numerically that this physical system is linearly unstable due to the superradiant scattering of sound waves in the ergoregion of the effective spacetime. In the present study we use analytical tools in order to explore the onset of these superradiant instabilities which characterize the effective spacetime geometry. In particular, we derive a simple analytical formula which describes the physical properties of the hydrodynamic vortex system in its critical (marginally-stable) state, the state which marks the boundary between stable and unstable fluid configurations. The analytically derived formula is shown to agree with the recently published numerical data for the hydrodynamic vortex system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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